Well I can find most of the ones I want except my gt grandfather Richard Bond Cocks.
Have you considered the one in this household? The ages of Richard and Mary are off slightly but I wonder if they were trying to close the gap (the marriage record has a 14 year difference).
Altrincham, Bucklow, Cheshire
Ebenezer Warburton; born c1890, Cadishead, Lancashire
Emma Ann Warburton; born c1889, Irlam, Lancashire
Andrew Warburton; born c1914, Broadheath, Cheshire
Meiviam Warburton; born c1919, Broadheath, Cheshire
Richard Cocks; born c1858, Denton, Lancashire
Mary Cocks; born c1866, Londonderry, Ireland
All info from free searches.